"I let the president down," White House press secretary Sean Spicer said Wednesday morning, expressing humility one day after saying that even Adolf Hitler didn't "sink to using chemical weapons" during World War II.

Journalists and politicians in Washington are abuzz about whether Spicer's job is in on the line -- whether he has become too much of a liability to continue as press secretary.

But this is not the first week in which Spicer's credibility has come under withering scrutiny. His briefings have been riddled with mistakes and misstatements, prompting concerns among White House correspondents and jokes from late night comics.

After Spicer's apology on Blitzer's broadcast Tuesday evening, a person close to Spicer told CNN's Jeff Zeleny that the press secretary's fate is unknown.

"He will have to wait to see if the president thought it was effective," the person close to Spicer said.